Question

Solve the inequality -5x+3>18 and write the solution using: Interval Notation: Graph the solution below:

Answer 1

Step 1

Given;

$-5x+3\ge18$

Required; To write the solution using interval notation.

Step 2

$\begin{gathered} -5x+3-3\ge \:18-3 \\ -5x\ge \:15 \\ \left(-5x\right)\left(-1\right)\le \:15\left(-1\right) \end{gathered}$$\begin{gathered} 5x\le \:-15 \\ \frac{5x}{5}\le \frac{-15}{5} \\ x\le \:-3 \end{gathered}$

In interval notation;

$(-\infty \:,\:-3]$

Step 3

Graph the solution below:

Answer;

$(-\infty,-3]---\text{ Interval notation}$